Adjoint Matrix
| \(\hspace{60px} A\hspace{130px}\bar{A}\\ \normalsize {\left[\begin{array}\\ a_{\small 11}& a_{\small 12}& \cdots& a_{\small 1j}\\ a_{\small 21}& a_{\small 22}& \cdots& a_{\small 2j}\\ \vdots& \vdots& \ddots& \vdots\\a_{\small i1}& a_{\small i2}& \cdots& a_{\small ij}\\\end{array}\right]} \ \rightarrow\ {\left[\begin{array}\\ \bar{a}_{\small 11}& \bar{a}_{\small 12}& \cdots& \bar{a}_{\small 1j}\\ \bar{a}_{\small 21}& \bar{a}_{\small 22}& \cdots& \bar{a}_{\small 2j}\\ \vdots& \vdots& \ddots& \vdots\\\bar{a}_{\small i1}& \bar{a}_{\small i2}& \cdots& \bar{a}_{\small ij}\\\end{array}\right]}\\ \) |
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The conjugate of a matrix A is the matrix A whose elements are the complex conjugates of those in A.